On the inviscid instability of the 2-D Taylor-Green vortex

Cites Work

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Transport and instability for perfect fluids
On the spectral theory of elliptic differential operators. I
The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity
Nonlinear instability in an ideal fluid
Stability and transition in shear flows
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents
On the linear stability of hyperbolic PDEs and viscoelastic flows
A posteriori error estimates for self-similar solutions to the Euler equations
Computing nearly singular solutions using pseudo-spectral methods
Chebyshev and Fourier spectral methods.
Spectral Methods
An illustration of the link between ribs and hyperbolic instability
Small-scale structure of the Taylor–Green vortex
Local stability conditions in fluid dynamics
One-Parameter Semigroups for Linear Evolution Equations
Pseudospectra of Linear Operators
Instability criteria for the flow of an inviscid incompressible fluid
Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization
Nonlinear Nonmodal Stability Theory
Strato-hyperbolic instability: a new mechanism of instability in stably stratified vortices
Modal and non-modal stability of two-dimensional Taylor–Green vortices
Elliptical instability of a rapidly rotating, strongly stratified fluid
Elliptic instability in two-dimensional flattened Taylor–Green vortices
Unstable eigenvalues associated with inviscid fluid flows
An efficient dynamically adaptive mesh for potentially singular solutions
Systematic search for singularities in 3D Euler flows
On the linear stability of the Lamb–Chaplygin dipole
Exact coherent structures in fully developed two-dimensional turbulence
Stability of two-dimensional Taylor–Green vortices in rotating stratified fluids

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